Operator splitting method for simulation of dynamic flows in natural gas pipeline networks

PHYSICA D-NONLINEAR PHENOMENA

卷:361

Article

Dyachenko, Sergey A.^1,7  Zlotnik, Anatoly²  Korotkevich, Alexander O.^3,4  Chertkov, Michael^5,6 

[1] Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA

[2] T5 Alamos Natl Lab, Theoret Div, Los Alamos, NM 87545 USA

[3] Univ New Mexico, Dept Math & Stat, MSC01 1115,1 Univ New Mexico, Albuquerque, NM 87131 USA

[4] LD Landau Inst Theoret Phys, 2 Kosygin Str, Moscow 119334, Russia

[5] Los Alamos Natl Lab, Theoret Div, T & CNLS 4, Los Alamos, NM 87545 USA

[6] Energy Syst Ctr, Moscow 143026, Russia

[7] Brown Univ, ICERM, Box 1995, Providence, RI 02912 USA

关键词: Pipeline simulation;    Operator splitting;    Gas dynamics;   

DOI  :  10.1016/j.physd.2017.09.002

来源: Elsevier

【 摘 要 】

We develop an operator splitting method to simulate flows of isothermal compressible natural gas over transmission pipelines. The method solves a system of nonlinear hyperbolic partial differential equations (PDEs) of hydrodynamic type for mass flow and pressure on a metric graph, where turbulent losses of momentum are modeled by phenomenological Darcy-Weisbach friction. Mass flow balance is maintained through the boundary conditions at the network nodes, where natural gas is injected or withdrawn from the system. Gas flow through the network is controlled by compressors boosting pressure at the inlet of the adjoint pipe. Our operator splitting numerical scheme is unconditionally stable and it is second order accurate in space and time. The scheme is explicit, and it is formulated to work with general networks with loops. We test the scheme over range of regimes and network configurations, also comparing its performance with performance of two other state of the art implicit schemes. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free